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eduard
4 years ago
12

Terry made 6 orders in September, 36 orders in October, and 216 orders in November. If this pattern continues, how many orders w

ill Terry make in December?​
Mathematics
1 answer:
bixtya [17]4 years ago
7 0

Answer:

1296 orders

Step-by-step explanation:

There is a pattern to his orders.

First, he starts with 6.

Second, he made 36.

Third, he made 216.

From here, the pattern can be identified. And, you can extend it further.

Pattern - x · 6

x = the orders.

6, 36, 216

6 (September) × 6 = 36 (October)

36 × 6 = 216 (November)

216 × 6 = 1296 (December)

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1. Write out the law of cosines and find the hypotenuse of triangle with 2 sides lengths equal to three and the included angle m
LUCKY_DIMON [66]

Answer:

1.) \sqrt{13.341}  ≈ 3.652

2.) I would say something about how the A in front of cos in the equation would change to 90, rather than stay 75 (in the equation for the step by step), but it would be easier to just use the Pythagorean theorem.

Step-by-step explanation:

I think we may have the same class so hopefully this helps:

1.) a^2 = b^2 + c^2 - 2bccosA --> law of cosines formula.

   a^2 = 3^2 + 3^2 - 2(3)(3)cos(75) --> plugged in numbers; when you draw the triangle, the included angle would be A, and the opposite side would be a. B and b, and C and c are opposite each other. In this case, a is the hypotenuse.

   a^2 = 18 - 18cos75 --> in between steps.

   a^2 = 13.341 --> more simplifying.

   a(hypotenuse) = \sqrt{13.341} or 3.652 --> answer

2.) This one is just an explanation: The 75 in the equation is the given angle, which is a. If this changes, it would just change in the equation too. And obviously, if it's 90 degrees, you can just use Pythagorean theorem a^2+b^2=c^2.

Good luck! :)

   

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3 years ago
A hat contains slips of paper with the names of the 26 other students in Eduardo’s class on them, 10 of whom are boys. To determ
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Answer:

The probability that both of Eduardo’s partners for the group project will be girls is        

Step-by-step explanation:

Given : A hat contains slips of paper with the names of the 26 other students in Eduardo’s class on them, 10 of whom are boys. To determine his partners for the group project, Eduardo has to pull two names out of the hat without replacing them.

To find :  What is the probability that both of Eduardo’s partners for the group project will be girls?

Solution :

Total number of students = 26

Number of boys = 10

Number of girls = 26-10=16

Eduardo has to pull two names out of the hat without replacing them.

For the first hat,

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Total number of outcome = 26

For the second hat, without replacement

Favorable outcome of getting another girl = 15

Total number of outcome = 25

The probability that both of Eduardo’s partners for the group project will be girls is

Hope This Helps :D

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